If the graph of the function h defined by
h(x) = 5x²-8
is translated vertically upward by 9 units, it becomes the graph of a function g.
find the expression for g(x).

g(x) = 5x^2 + 1

Step-by-step explanation:

If h(x) is translated by 9 units upwards..then the graph of;

;g(x) = h(x) + 9

Then substitute the h(x) part by the expression of h(x)

; g(x) = 5x^2 -8 + 9

; g(x) = 5x^2 + 1...is the expression for g(x)

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.